The effects discussed above –— the decreasing of exciton binding energy and oscillator strength with increasing field —– are originated physically from the field-induced repulsive area in the electron-hole interaction potential near \(r=0\)  (see Fig. 2a). Therefore, these effects depend mainly on the electron-hole interaction and remain the same qualitatively for any realistic confinement. It should be noted that the considered parabolic confinement potential (REF ) with the same frequency \(\Omega \)  for both electron and hole is the model which was introduced into the quantum dot theory in order to separate the centre of mass coordinate of the electron-hole pair \(\mathbf {R}\)  and its relative coordinate \(\mathbf {r}\)  in the exciton Hamiltonian [1]}. Since such a separation of variables substantially simplifies the analysis of excitonic effects, this conventional model was applied above to describe the field-induced effects in the simplest way. It should be noted also that an oscillating field does not change the distance between identical charged particles and, therefore, does not modify interaction of them [2]}. Thus, only the electron-hole interaction is altered by the electromagnetic field, whereas the electron-electron and hole-hole interactions remain unaffected. As a consequence, the discussed field-induced effects are expected to be the same qualitatively for trions [3]} in charged quantum dots and biexcitons [4]}. Concerning applicability limits of the developed theory, the present analysis is correct if the exciton lifetime, \(\tau _X\) , is far larger than the dressing field period, \(T=2\pi /\omega _0\) . As a consequence, the condition
\(\omega _0\tau _X\gg 1\) 
